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Algebra II Absolute Value FunctionsDate: ___ Block: ___Objectives: We will plot key features of absolute value functions and describe graphs of absolute value functions. Student Task: The student
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How to fill out graphing absolute value functions

How to fill out graphing absolute value functions
01
Start by identifying the equation of the absolute value function you want to graph. The general form is y = |x - h| + k, where (h,k) represents the vertex of the graph.
02
Determine the vertex. The vertex is the point (h,k) mentioned in the equation. The value of h represents the horizontal shift, and k represents the vertical shift of the graph.
03
Plot the vertex on the coordinate plane.
04
Determine the direction of the graph. An absolute value function opens upwards or downwards depending on the sign of the coefficient of |x - h|. If the coefficient is positive, the graph opens upwards. If the coefficient is negative, the graph opens downwards.
05
Locate additional points on the graph. Choose x-values on both sides of the vertex and substitute them into the equation to find their corresponding y-values. Plot these points on the graph.
06
Connect the plotted points with a smooth curve. Remember that the graph of an absolute value function is V-shaped.
07
Label the axes and give the graph a title if necessary.
08
Check your graph to ensure that it accurately represents the absolute value function and its properties.
Who needs graphing absolute value functions?
01
Students studying algebra and precalculus often need to understand and graph absolute value functions.
02
Engineers and architects may use graphing absolute value functions in areas such as optimization problems or modeling physical phenomena.
03
Economists and statisticians may use absolute value functions to analyze data and make predictions.
04
Anyone interested in understanding the behavior and properties of absolute value functions can benefit from learning how to graph them.
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What is graphing absolute value functions?
Graphing absolute value functions involves plotting the values of a function that reflects the distance of a number from zero, with the graph typically forming a 'V' shape.
Who is required to file graphing absolute value functions?
Students and individuals learning about mathematics may be required to graph absolute value functions as part of their coursework in algebra or pre-calculus.
How to fill out graphing absolute value functions?
To graph an absolute value function, identify the vertex, determine its domain, and plot several points using the function's equation, connecting them to form the characteristic 'V' shape.
What is the purpose of graphing absolute value functions?
The purpose of graphing absolute value functions is to visualize and analyze the behavior of the function, including its vertex, intercepts, and the effect of transformations.
What information must be reported on graphing absolute value functions?
When graphing absolute value functions, it is important to report the vertex coordinates, intercepts, and any transformations affecting the graph.
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